Metamaterials for space physics and the new method for modeling isotropic and hyperbolic nonlinear concentrators

Tunable, nonlinear and active metamaterials are discussed, as a basis of optical instrumentation and signal processing such as filters, birefringent devices, lenses etc. The new method for modeling nonlinear field and energy concentrators is reported, which includes the combination of the new version of complex geometrical optics (CGO) and full-wave nonlinear electromagnetic solution (FWNES) used in different regions of a concentrator and matching of these solutions. Nonlinear concentrators based on both isotropic and hyperbolic metamaterials are discussed. The new strongly nonlinear phenomena- nonlinear focusing switching, taking place when input amplitude of concentrated rays/beams exceeds some threshold value, is found in both types of the field concentrators and searched.